Pith Number

pith:DBEPBNQ2

pith:2026:DBEPBNQ2P6CCE6IQVVTFII7R46

not attested not anchored not stored refs pending

Filtered Vortex Stretching and Subgrid Defects for the Three-Dimensional Navier-Stokes Equations

Runlong Yu

arxiv:2606.27560 v1 · 2026-06-25 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBEPBNQ2P6CCE6IQVVTFII7R46}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-29T00:14:10.022164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1848f0b61a7f84227910ad665423f1e7aae48997237f49746217fe1b2567b2f5

Aliases

arxiv: 2606.27560 · arxiv_version: 2606.27560v1 · doi: 10.48550/arxiv.2606.27560 · pith_short_12: DBEPBNQ2P6CC · pith_short_16: DBEPBNQ2P6CCE6IQ · pith_short_8: DBEPBNQ2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DBEPBNQ2P6CCE6IQVVTFII7R46 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1848f0b61a7f84227910ad665423f1e7aae48997237f49746217fe1b2567b2f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc6425a66bea92e7641d272e5d76adc3f31e8eb18f9cd62813c6ea6a1876512",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-25T21:33:42Z",
    "title_canon_sha256": "85e84d509dbb056b66d573c4c13cff2df977cdb163c01c3a989ee08c0700f656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27560",
    "kind": "arxiv",
    "version": 1
  }
}